Directions: Answer the question independently. Raju got a birthday cap on his birthday. It is in the shape of a hollow right circular cone with radius of the base 9 cm and height 12 cm. What is the radius of the largest tennis ball (which is spherical in shape) that can be completely enclosed within the cap?

The radius of the largest sphere that can fit inside a cone is given by the formula r * h / (l + r), where l is the slant height. Using the Pythagorean theorem, the slant height l is the square root of (9^2 + 12^2), which equals 15 cm. Applying the formula, the radius of the tennis ball is (9 * 12) / (15 + 9), resulting in 108 / 24 = 4.5 cm.

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